TSTP Solution File: SYO844+1 by Paradox---4.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Paradox---4.0
% Problem  : SYO844+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:short
% Command  : paradox --no-progress --time %d --tstp --model %s

% Computer : n025.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Thu Jul 21 19:08:12 EDT 2022

% Result   : CounterSatisfiable 0.60s 0.81s
% Output   : FiniteModel 0.60s
% Verified : 
% SZS Type : FiniteModel
%            Domain size           :    6

% Comments : 
%------------------------------------------------------------------------------
% domain size is 6
fof(domain,fi_domain,
    ! [X] :
      ( X = "1"
      | X = "2"
      | X = "3"
      | X = "4"
      | X = "5"
      | X = "6" ) ).

fof(a0,fi_functors,
    a0 = "1" ).

fof(a1,fi_functors,
    a1 = "2" ).

fof(a2,fi_functors,
    a2 = "3" ).

fof(a3,fi_functors,
    a3 = "4" ).

fof(a4,fi_functors,
    a4 = "5" ).

fof(aal2,fi_predicates,
    ! [X1] :
      ( aal2(X1)
    <=> $true ) ).

fof(aal3,fi_predicates,
    ( ( aal3("1")
    <=> $true )
    & ( aal3("2")
    <=> $true )
    & ( aal3("3")
    <=> $true )
    & ( aal3("4")
    <=> $true )
    & ( aal3("5")
    <=> $true )
    & ( aal3("6")
    <=> $false ) ) ).

fof(aal4,fi_predicates,
    ( ( aal4("1")
    <=> $false )
    & ( aal4("2")
    <=> $true )
    & ( aal4("3")
    <=> $false )
    & ( aal4("4")
    <=> $false )
    & ( aal4("5")
    <=> $false )
    & ( aal4("6")
    <=> $false ) ) ).

fof(aal5,fi_predicates,
    ! [X1] :
      ( aal5(X1)
    <=> $false ) ).

fof(aal6,fi_predicates,
    ! [X1] :
      ( aal6(X1)
    <=> $false ) ).

fof(adisjoint,fi_predicates,
    ! [X1,X2] :
      ( adisjoint(X1,X2)
    <=> $false ) ).

fof(aex3,fi_predicates,
    ! [X1] :
      ( aex3(X1)
    <=> $true ) ).

fof(aex4,fi_predicates,
    ! [X1] :
      ( aex4(X1)
    <=> $true ) ).

fof(aex5,fi_predicates,
    ! [X1] :
      ( aex5(X1)
    <=> $true ) ).

fof(ain,fi_predicates,
    ( ( ain("1","1")
    <=> $true )
    & ( ain("1","2")
    <=> $false )
    & ( ain("1","3")
    <=> $false )
    & ( ain("1","4")
    <=> $false )
    & ( ain("1","5")
    <=> $true )
    & ( ain("1","6")
    <=> $true )
    & ( ain("2","1")
    <=> $true )
    & ( ain("2","2")
    <=> $false )
    & ( ain("2","3")
    <=> $true )
    & ( ain("2","4")
    <=> $false )
    & ( ain("2","5")
    <=> $false )
    & ( ain("2","6")
    <=> $false )
    & ( ain("3","1")
    <=> $true )
    & ( ain("3","2")
    <=> $false )
    & ( ain("3","3")
    <=> $false )
    & ( ain("3","4")
    <=> $false )
    & ( ain("3","5")
    <=> $true )
    & ( ain("3","6")
    <=> $true )
    & ( ain("4","1")
    <=> $true )
    & ( ain("4","2")
    <=> $false )
    & ( ain("4","3")
    <=> $true )
    & ( ain("4","4")
    <=> $false )
    & ( ain("4","5")
    <=> $false )
    & ( ain("4","6")
    <=> $false )
    & ( ain("5","1")
    <=> $true )
    & ( ain("5","2")
    <=> $false )
    & ( ain("5","3")
    <=> $true )
    & ( ain("5","4")
    <=> $false )
    & ( ain("5","5")
    <=> $false )
    & ( ain("5","6")
    <=> $false )
    & ( ain("6","1")
    <=> $true )
    & ( ain("6","2")
    <=> $false )
    & ( ain("6","3")
    <=> $true )
    & ( ain("6","4")
    <=> $false )
    & ( ain("6","5")
    <=> $false )
    & ( ain("6","6")
    <=> $false ) ) ).

fof(aint,fi_functors,
    ( aint("1","1") = "1"
    & aint("1","2") = "6"
    & aint("1","3") = "2"
    & aint("1","4") = "4"
    & aint("1","5") = "5"
    & aint("1","6") = "4"
    & aint("2","1") = "6"
    & aint("2","2") = "1"
    & aint("2","3") = "5"
    & aint("2","4") = "4"
    & aint("2","5") = "6"
    & aint("2","6") = "4"
    & aint("3","1") = "6"
    & aint("3","2") = "2"
    & aint("3","3") = "1"
    & aint("3","4") = "4"
    & aint("3","5") = "6"
    & aint("3","6") = "2"
    & aint("4","1") = "1"
    & aint("4","2") = "3"
    & aint("4","3") = "3"
    & aint("4","4") = "3"
    & aint("4","5") = "4"
    & aint("4","6") = "2"
    & aint("5","1") = "4"
    & aint("5","2") = "2"
    & aint("5","3") = "2"
    & aint("5","4") = "4"
    & aint("5","5") = "1"
    & aint("5","6") = "2"
    & aint("6","1") = "3"
    & aint("6","2") = "1"
    & aint("6","3") = "4"
    & aint("6","4") = "4"
    & aint("6","5") = "4"
    & aint("6","6") = "4" ) ).

fof(apow,fi_functors,
    ( apow("1") = "3"
    & apow("2") = "3"
    & apow("3") = "5"
    & apow("4") = "5"
    & apow("5") = "3"
    & apow("6") = "1" ) ).

fof(asing,fi_functors,
    ( asing("1") = "2"
    & asing("2") = "4"
    & asing("3") = "5"
    & asing("4") = "6"
    & asing("5") = "1"
    & asing("6") = "3" ) ).

fof(asm,fi_functors,
    ( asm("1","1") = "4"
    & asm("1","2") = "1"
    & asm("1","3") = "5"
    & asm("1","4") = "1"
    & asm("1","5") = "3"
    & asm("1","6") = "3"
    & asm("2","1") = "4"
    & asm("2","2") = "4"
    & asm("2","3") = "4"
    & asm("2","4") = "2"
    & asm("2","5") = "2"
    & asm("2","6") = "2"
    & asm("3","1") = "4"
    & asm("3","2") = "3"
    & asm("3","3") = "4"
    & asm("3","4") = "3"
    & asm("3","5") = "3"
    & asm("3","6") = "3"
    & asm("4","1") = "4"
    & asm("4","2") = "2"
    & asm("4","3") = "4"
    & asm("4","4") = "4"
    & asm("4","5") = "2"
    & asm("4","6") = "4"
    & asm("5","1") = "4"
    & asm("5","2") = "6"
    & asm("5","3") = "6"
    & asm("5","4") = "6"
    & asm("5","5") = "2"
    & asm("5","6") = "4"
    & asm("6","1") = "4"
    & asm("6","2") = "6"
    & asm("6","3") = "5"
    & asm("6","4") = "5"
    & asm("6","5") = "4"
    & asm("6","6") = "2" ) ).

fof(asubq,fi_predicates,
    ( ( asubq("1","1")
    <=> $false )
    & ( asubq("1","2")
    <=> $false )
    & ( asubq("1","3")
    <=> $true )
    & ( asubq("1","4")
    <=> $true )
    & ( asubq("1","5")
    <=> $false )
    & ( asubq("1","6")
    <=> $true )
    & ( asubq("2","1")
    <=> $true )
    & ( asubq("2","2")
    <=> $true )
    & ( asubq("2","3")
    <=> $false )
    & ( asubq("2","4")
    <=> $false )
    & ( asubq("2","5")
    <=> $true )
    & ( asubq("2","6")
    <=> $true )
    & ( asubq("3","1")
    <=> $false )
    & ( asubq("3","2")
    <=> $false )
    & ( asubq("3","3")
    <=> $true )
    & ( asubq("3","4")
    <=> $true )
    & ( asubq("3","5")
    <=> $false )
    & ( asubq("3","6")
    <=> $true )
    & ( asubq("4","1")
    <=> $true )
    & ( asubq("4","2")
    <=> $true )
    & ( asubq("4","3")
    <=> $false )
    & ( asubq("4","4")
    <=> $false )
    & ( asubq("4","5")
    <=> $true )
    & ( asubq("4","6")
    <=> $true )
    & ( asubq("5","1")
    <=> $true )
    & ( asubq("5","2")
    <=> $true )
    & ( asubq("5","3")
    <=> $false )
    & ( asubq("5","4")
    <=> $false )
    & ( asubq("5","5")
    <=> $true )
    & ( asubq("5","6")
    <=> $true )
    & ( asubq("6","1")
    <=> $true )
    & ( asubq("6","2")
    <=> $true )
    & ( asubq("6","3")
    <=> $false )
    & ( asubq("6","4")
    <=> $false )
    & ( asubq("6","5")
    <=> $true )
    & ( asubq("6","6")
    <=> $true ) ) ).

fof(aun,fi_functors,
    ( aun("1","1") = "3"
    & aun("1","2") = "1"
    & aun("1","3") = "3"
    & aun("1","4") = "1"
    & aun("1","5") = "1"
    & aun("1","6") = "1"
    & aun("2","1") = "4"
    & aun("2","2") = "2"
    & aun("2","3") = "3"
    & aun("2","4") = "2"
    & aun("2","5") = "5"
    & aun("2","6") = "6"
    & aun("3","1") = "3"
    & aun("3","2") = "3"
    & aun("3","3") = "3"
    & aun("3","4") = "2"
    & aun("3","5") = "5"
    & aun("3","6") = "1"
    & aun("4","1") = "1"
    & aun("4","2") = "2"
    & aun("4","3") = "2"
    & aun("4","4") = "2"
    & aun("4","5") = "6"
    & aun("4","6") = "2"
    & aun("5","1") = "2"
    & aun("5","2") = "2"
    & aun("5","3") = "3"
    & aun("5","4") = "6"
    & aun("5","5") = "4"
    & aun("5","6") = "6"
    & aun("6","1") = "6"
    & aun("6","2") = "6"
    & aun("6","3") = "3"
    & aun("6","4") = "2"
    & aun("6","5") = "2"
    & aun("6","6") = "4" ) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SYO844+1 : TPTP v8.1.0. Released v7.5.0.
% 0.04/0.13  % Command  : paradox --no-progress --time %d --tstp --model %s
% 0.12/0.34  % Computer : n025.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Fri Jul  8 17:43:15 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  Paradox, version 4.0, 2010-06-29.
% 0.12/0.34  +++ PROBLEM: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34  Reading '/export/starexec/sandbox2/benchmark/theBenchmark.p' ... OK
% 0.19/0.37  +++ SOLVING: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.60/0.81  +++ BEGIN MODEL
% 0.60/0.81  SZS output start FiniteModel for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.60/0.81  +++ END MODEL
% 0.60/0.81  +++ RESULT: CounterSatisfiable
% 0.60/0.81  SZS status CounterSatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------